An ungrounded 4.16 k V system has a capacitance to ground 0.4F per phase. In this system: a. Calculate the normal charging current in amperes per phase b. Calculate the fault current for a phase-a-to-ground fault (Assume fault closer to the source) c. Will this fault current operate a ground overcurrent relay set at 0.5 A pickup and connected to 100:5 current transformer or a ground sensor connected to a toroidal type CT with a primary pickup of 5 A? (Note: Pick-up is the minimum current which will cause the relay to operate)